Advanced search
1 file | 774.71 KB Add to list

Analytical singular-value decomposition of three-dimentional, proximity-based SPECT systems

Author
Organization
Abstract
An operator formalism is introduced for the description of SPECT imaging systems that use solid-angle effects rather than pinholes or collimators, as in recent work by Mitchell and Cherry. The object is treated as a 3D function, without discretization, and the data are 2D functions on the detectors. An analytic singular-value decomposition of the resulting integral operator is performed and used to compute the measurement and null components of the objects. The results of the theory are confirmed with a Landweber algorithm that does not require a system matrix.
Keywords
SPECT, singular value decomposition

Downloads

  • (...).pdf
    • full text
    • |
    • UGent only
    • |
    • PDF
    • |
    • 774.71 KB

Citation

Please use this url to cite or link to this publication:

MLA
Barret, Harrison H, and Roel Van Holen. “Analytical Singular-value Decomposition of Three-dimentional, Proximity-based SPECT Systems.” Fully 3D 2011 Proceedings. 2011. 100–103. Print.
APA
Barret, H. H., & Van Holen, R. (2011). Analytical singular-value decomposition of three-dimentional, proximity-based SPECT systems. Fully 3D 2011 proceedings (pp. 100–103). Presented at the 11th International meeting on Fully Three-Dimensional Image Reconstruction in Radiology and Nuclear Medicine (Fully 3D 11).
Chicago author-date
Barret, Harrison H, and Roel Van Holen. 2011. “Analytical Singular-value Decomposition of Three-dimentional, Proximity-based SPECT Systems.” In Fully 3D 2011 Proceedings, 100–103.
Chicago author-date (all authors)
Barret, Harrison H, and Roel Van Holen. 2011. “Analytical Singular-value Decomposition of Three-dimentional, Proximity-based SPECT Systems.” In Fully 3D 2011 Proceedings, 100–103.
Vancouver
1.
Barret HH, Van Holen R. Analytical singular-value decomposition of three-dimentional, proximity-based SPECT systems. Fully 3D 2011 proceedings. 2011. p. 100–3.
IEEE
[1]
H. H. Barret and R. Van Holen, “Analytical singular-value decomposition of three-dimentional, proximity-based SPECT systems,” in Fully 3D 2011 proceedings, Potsdam, Germany, 2011, pp. 100–103.
@inproceedings{1957606,
  abstract     = {An operator formalism is introduced for the description of SPECT imaging systems that use solid-angle effects rather than pinholes or collimators, as in recent work by Mitchell and Cherry. The object is treated as a 3D function, without discretization, and the data are 2D functions on the detectors. An analytic singular-value decomposition of the resulting integral operator is performed and used to compute the measurement and null components of the objects. The results of the theory are confirmed with a Landweber algorithm that does not require a system matrix.},
  author       = {Barret, Harrison H and Van Holen, Roel},
  booktitle    = {Fully 3D 2011 proceedings},
  keywords     = {SPECT,singular value decomposition},
  language     = {eng},
  location     = {Potsdam, Germany},
  pages        = {100--103},
  title        = {Analytical singular-value decomposition of three-dimentional, proximity-based SPECT systems},
  year         = {2011},
}